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Finding the Third Proportional to 307,985 and 460,722

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Solution

The third proportional to 307,985 and 460,722 is: 689,204.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,985 : 460,722 = 460,722 : x
  2. Step 2: Convert to fraction form
    307,985/460,722 = 460,722/x
  3. Step 3: Cross multiply
    307,985x = 460,722 × 460,722
  4. Step 4: Simplify right side
    307,985x = 212,264,761,284
  5. Step 5: Solve for x
    x = 212,264,761,284/307,985
  6. Step 6: Final answer
    x = 689,204.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.